Question

AYÚDA PLISS

DOY CORONITA
por favor

041aab29bca686dde4fd1ba763fe4ed4.docx

Answer 1

Respuesta:

Explicación paso a paso:

$Altura: H = 8cm$

$Lado: L = 5cm$

Apotema de la base: $a = \frac{L}{2} = \frac{5cm}{2} = 2.5cm$

Apotema de la pirámide: $ap=\sqrt{H^{2}+a^{2} }$

$ap = \sqrt{(8cm)^{2}+(2.5cm)^{2} } = \sqrt{64cm^{2}+6.25cm^{2} }=\sqrt{70.25cm^{2} } = 8.38cm$

$Perimetro: P = 4L = 4(5cm) = 20cm$

Area Total: At = ?

$At = \frac{P*ap}{2} + L^{2}$

$At = \frac{20cm*8.38cm}{2} + (5cm)^{2} = \frac{167.6cm^{2} }{2} + 25cm^{2}$

$At = 83.8cm^{2} +25cm^{2}$

$At = 108.8cm^{2}$

Volumen: V=?

$V = \frac{L^{2} *H}{3}$

$V = \frac{(5cm)^{2}*(8cm) }{3} = \frac{25cm^{2}*8cm }{3}$

$V = \frac{200cm^{3} }{3}$

$V = 66.67cm^{3}$

RESPUESTA:

  $Area-total: 108.8cm^{2}$    ;    $Volumen: 66.67cm^{3}$